On the steady-state continuous casting Stefan problem with nonlinear cooling-Reference-Cited by-同舟云学术

On the steady-state continuous casting Stefan problem with nonlinear cooling

Published:1983 Issue:4 Volume:40 Page:476-491
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Chipot Michel,Rodrigues José-Francisco

Abstract

A steady-state one-phase Stefan problem corresponding to the solidification process of an ingot of pure metal by continuous casting with nonlinear lateral cooling is considered via the weak formulation introduced in [5] for the dam problem. Two existence results are obtained, for a general nonlinear flux and for a maximal monotone flux. Comparison results and the regularity of the free boundary are discussed. An uniqueness theorem is given for the monotone case.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1983-40-04/S0033-569X-1983-0693880-7/S0033-569X-1983-0693880-7.pdf

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